Order Reduction of Continuous Interval Zeta Converter Model using Direct Truncation Method

Abstract

Zeta Converter consists of two inductors and two capacitors, hence it is a fourth order system. Output voltage of a zeta converter can be lower or higher as compared to the input voltage. In this paper, small signal dynamic model is obtained using steady state averaging technique and further direct truncation method is used to reduce the order of the given fourth order test case to first, second and third order systems respectively. Impulse response and step response are plotted as well as integral square error is calculated for lower and upper limit of reduced order transfer functions. The results presented prove the applicability and effectiveness of the proposed method.